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Finding the Fourth Proportional to 805.07, 1,207.82 and 342.88

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Solution

The fourth proportional to 805.07, 1,207.82 and 342.88 is: 514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.07 : 1,207.82 = 342.88 : x
  2. Step 2: Convert to fraction form
    805.07/1,207.82 = 342.88/x
  3. Step 3: Cross multiply
    805.07x = 1,207.82 × 342.88
  4. Step 4: Simplify right side
    805.07x = 414,135.16
  5. Step 5: Solve for x
    x = 414,135.16/805.07
  6. Step 6: Final answer
    x = 514.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.